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Books in Differential geometry

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11-15 of 15 results in All results

Handbook of Differential Geometry, Volume 1

  • 1st Edition
  • December 16, 1999
  • F.J.E. Dillen + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 8 2 2 4 0 - 6
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 2 8 3 - 7
In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

The Language of Shape

  • 1st Edition
  • November 19, 1996
  • S. Hyde + 6 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 8 1 5 3 8 - 5
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 4 2 5 4 - 6
This book develops the thesis that structure and function in a variety of condensed systems - from the atomic assemblies in inorganic frameworks and organic molecules, through molecular self-assemblies to proteins - can be unified when curvature and surface geometry are taken together with molecular shape and forces. An astonishing variety of synthetic and biological assemblies can be accurately modelled and understood in terms of hyperbolic surfaces, whose richness and beauty are only now being revealed by applied mathematicians, physicists, chemists and crystallographers. These surfaces, often close to periodic minimal surfaces, weave and twist through space, carving out interconnected labyrinths whose range of topologies and symmetries challenge the imaginative powers.The book offers an overview of these structures and structural transformations, convincingly demonstrating their ubiquity in covalent frameworks from zeolites used for cracking oil and pollution control to enzymes and structural proteins, thermotropic and lyotropic bicontinuous mesophases formed by surfactants, detergents and lipids, synthetic block copolymer and protein networks, as well as biological cell assemblies, from muscles to membranes in prokaryotic and eukaryotic cells. The relation between structure and function is analysed in terms of the previously neglected hidden variables of curvature and topology. Thus, the catalytic activity of zeolites and enzymes, the superior material properties of interpenetrating networks in microstructured polymer composites, the transport requirements in cells, the transmission of nerve signals and the folding of DNA can be more easily understood in the light of this.The text is liberally sprinkled with figures and colour plates, making it accessible to both the beginning graduate student and researchers in condensed matter physics and chemistry, mineralogists, crystallographers and biologists.

Topological Theory of Dynamical Systems

  • 1st Edition
  • Volume 52
  • June 3, 1994
  • N. Aoki + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 8 7 2 1 - 0
This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments.This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book.Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.

Differential Topology and Quantum Field Theory

  • 1st Edition
  • October 23, 1992
  • Charles Nash
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 5 1 4 0 7 6 - 8
The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first time.

Differential Geometry, Lie Groups, and Symmetric Spaces

  • 1st Edition
  • Volume 80
  • February 9, 1979
  • Sigurdur Helgason
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 3 9 6 - 1
The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.